From Leland's gross pay of p dollars last week, t percent was deducted for taxes and then s dollars was deducted for savings. What amount of Leland's gross pay last week remained after these two deductions?
1/ p - s = 244
2/ pt = 7552
Answer: C both statements together are sufficient
I understand why C works here, but can someone show me how to solve this algebraically if this was a Problem Solving question?
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Pay after the two deductions = p - (t/100)p - s.melanie.espeland wrote:From Leland's gross pay of p dollars last week, t percent was deducted for taxes and then s dollars was deducted for savings. What amount of Leland's gross pay last week remained after these two deductions?
1/ p - s = 244
2/ pt = 7552
Rephrase the expression above in terms of the two statements (p-s and pt):
p - (t/100)p - s = p - s - pt/100.
Question stem, rephrased:
What is the value of p - s - pt/100?
Statement 1: p-s = 244
No information about pt/100.
INSUFFICIENT.
Statement 2: pt = 7552
No information about p-s.
INSUFFICIENT.
Statements combined:
p - s - pt/100 = 244 - 7552/100.
SUFFICIENT.
The correct answer is C.
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My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
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